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Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations

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Chinese Annals of Mathematics,Series b 2023年第5期44卷 641-662页

作者： Chengxia ZU Tatsien LI bopeng rao School of Mathematics Hohai UniversityNanjing 211100China School of Mathematical Sciences Fudan UniversityShanghai 200433China Shanghai Key Laboratory for Contemporary Applied Mathematics/Nonlinear Mathematical Modelingand Methods Laboratory Shanghai 200433China Institut de Recherche Mathematique Avancee Universite de Strasbourg67084 StrasbourgFrance

In this paper the exact internal controllability for a coupled system of wave equations with arbitrarily given coupling matrix is *** on this result,the exact internal synchronization and the exact internal synchroniz... 详细信息

关键词： Exact internal controllability Exact internal synchronization by groups Coupled system of wave equations

Artificial neural network approach for prediction of stress–strain curve of near b titanium alloy

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Rare Metals 2014年第3期33卷 249-257页

作者： Srinivasu Gangi Setti R.N.rao Mechanical Engineering National Institute of Technology

In the present study, artificial neural network（ANN） approach was used to predict the stress-strain curve of near beta titanium alloy as a function of volume fractions of a and b. This approach is to develop the best possible combination or neural network（NN） to predict the stress-strain curve. In order to achieve this, three different NN architectures（feed-forward back-propagation network,cascade-forward back-propagation network, and layer recurrent network）, three different transfer functions（purelin, Log-Sigmoid, and Tan-Sigmoid）, number of hidden layers（1 and 2）, number of neurons in the hidden layer（s）,and different training algorithms were employed. ANN training modules, the load in terms of strain, and volume fraction of a are the inputs and the stress as an *** system was trained using the prepared training set（a,16 % a, 40 % a, and b stress-strain curves）. After training process, test data were used to check system accuracy. It is observed that feed-forward back-propagation network is the fastest, and Log-Sigmoid transfer function is giving the best results. Finally, layer recurrent NN with a single hidden layer consists of 11 neurons, and Log-Sigmoid transfer function using trainlm as training algorithm is giving good result, and average relative error is1.27 ± 1.45 %. In two hidden layers, layer recurrent NN consists of 7 neurons in each hidden layer with trainrp as the training algorithm having the transfer function of LogSigmoid which gives better results. As a result, the NN is founded successful for the prediction of stress-strain curve of near b titanium alloy.

关键词： Artificial neural network (ANN) Stressstrain curve Titanium alloys

Stride Strategy to Enable a Quasi-ergodic Search of Reaction Pathways Demonstrated by Ring-opening Polymerization of Cyclic Esters

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Chinese Journal of Polymer Science 2023年第5期41卷 745-759,I0009页

作者： Wei-Han rao Lin Yu Jian-Dong Ding State Key Laboratory of Molecular Engineering of Polymers Department of Macromolecular ScienceFudan UniversityShanghai 200438China

Coordination-insertion ring-opening polymerization(ROP)of cyclic esters is an industrial way to synthesize polyesters,which are widely applied in biomedical and environment-benign ***,the rate-determining transition state(TS)identified by the conventional reaction pathways(pathway A and pathway b)presented in the literature did not well describe the structure-reactivity *** misidentification of the rate-determining TS might arise from the less ergodicity in the search of reaction ***,we suggested a stride strategy based on the insight that even a partial double bond is rotatable at the catalysis *** a result,we revealed a new reaction pathway,pathway C with a torsion transition state TSC2,by density functional theory(DFT).We also carried out kinetic experiments of ROP of D-lactide(D-LA),L-lactide(L-LA),ε-caprolactone(CL),andδ-valerolactone(VL),using poly(ethylene glycol)as the initiator and stannous octoate as the *** excellent linearity between the calculated free energy barriers and logarithms of the experimental kinetic constants of the two kinds of lactide and lactone monomers,was established,validating the quasi-ergodic search of reaction pathways and the scaling predicted by transition state *** linearity was highly predictive for the other lactide and lactone monomers,demonstrated by glycolide(GA)and trimethylene urethane(TU).

关键词： Coordination-insertion mechanism Ring-opening polymerization Density functional theory biodegradable polymer Lactide Lactone Cyclic ester

bio-analytical method development and validation of Rasagiline by high performance liquid chromatography tandem mass spectrometry detection and its application to pharmacokinetic study

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Journal of Pharmaceutical Analysis 2012年第5期2卷 342-349页

作者： Ravi Kumar Konda babu rao Chandu b.R.Challa Chandrasekhar b.Kothapalli Hindu College of Pharmacy Amaravathi RoadGunturAndhra Pradesh 522002India Jawaharlal Nehru Technological University AnantapurAndhra Pradesh 515002India Don bosco College of Pharmacy PulladiguntaGunturAndhra Pradesh 522001India Nirmala College of Pharmacy Madras RoadKadapaAndhra Pradesh 516002India

The most suitable bio-analytical method based on liquid liquid extraction has been developed and validated for quantification of Rasagiline in human plasma. Rasagiline-13C3 mesylate was used as an internal standard for Rasagiline. Zorbax Eclipse Plus C18 （2.1 mm × 50 mm, 3.5 um） column provided chromatographic separation of analyte followed by detection with mass spectrometry. The method involved simple isocratic chromatographic condition and mass spectrometric detection in the positive ionization mode using an API-4000 system. The lotal run time was 3.0 min. The proposed method has been validated with the linear range of 5 12000 pg/mL for Rasagiline. The intra-run and inter-run precision values were within 1.3% 2.9% and 1.6% 2.2% respectively for Rasagiline. The overall recovery for Rasagiline and Rasagiline-13C3 mesylate analog was 96.9% and 96.7% respectively. This validated method was successfully applied to the bioequivalence and pharmacokinetic study of human volunteers under fasting condition.

关键词： High performance liquid chromatography Mass spectrometry Rasagiline Liquid-liquid extraction

Determination of Phase Transitions of <i>p</i>,<i>n</i>-Alkyloxy benzoic Acid Mesogens Using Legendre Moments and Image Analysis

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World Journal of Condensed Matter Physics 2013年第1期3卷 54-61页

作者： S. Sreehari Sastry C. nageswara rao K. Mallika S. Lakshminarayan Ha Sie Tiong Department of Chemical Science Faculty of Science UniversitiTunku Abdul Rahman Jalan Universiti Bandar Barat Kampar Malaysia Department of Electronics and Communcation Engineering K. L. University Greenfields Vaddeswaram India Department of Physics Acharya Nagarjuna University Nagarjuna Nagar India

Phase transition temperatures of p,n-alkyloxy benzoic acids (nObA, n = 3 to 10 and 12) are investigated basing on the textural image analysis of liquid crystal. The analysis is carried out by the computation of Legendre moments. Textures of the homeotropically aligned compounds are recorded as a function of temperature using POM in arthroscopic mode attached to the hot stage and high resolution camera. A recurrence formula is used to compute the liquid crystal textures based on Legendre polynomial. The discontinuities and fluctuations in the values of Legendre moments as a function of temperature are related to the phase transition temperatures of the sample. This method is successful in conforming or detecting the phase transition temperatures and the present findings are comparable with literature.

关键词： Alkyloxybenzoic Acids Homeotropic Alignment Phase Transitions Textures Legendre Moments Image Analysis

Effects of Soil Salinity and Alkalinity on Grain Quality of Tolerant,Semi-Tolerant and Sensitive Rice Genotypes

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Rice science 2013年第4期20卷 284-291页

作者： P.SUREKHA rao b.MISHRA S.R.GUPTA Central Soil Salinity Research Institute Kurukshetra University

Soil salinity and alkalinity adversely affects the productivity and grain quality of rice. The grain quality of 19 rice genotypes characterized as salt tolerant （T）, semi-tolerant （ST） and sensitive （S） was assessed in lysimeters containing saline and highly alkaline soils. Head rice recovery was reduced by salinity stress whereas it was not affected by alkalinity stress. The ratio of length to width （grain dimensions） was significantly reduced in the T genotype even at low electrical conductivity （EC, 4 mS/cm） and alkalinity （pH 9.5）, whereas in the ST genotype, it was significantly reduced at high salinity （EC 8 mS/cm）. There was no significant effect of any levels of salinity or alkalinity on grain dimensions in the S genotype. Amylose content was significantly reduced in T and ST groups even at low EC （4 mS/cm） and alkalinity （pH 9.5） and the effect in the S genotype was only at high salinity. Starch content showed significant reduction at high salinity and alkalinity （EC 8 mS/cm and pH 9.8） in the T and ST genotypes and no significant effect was observed in the S genotype. The effect of both levels of salinity （EC 4 and 8 mS/cm） and high alkalinity （pH 9.8） on gel consistency was observed only in the S genotype. The tolerant genotypes IR36 under high salinity, and CSIR10 and CSR11 under alkali stress showed less reduction in amylose content. The T genotype bR4-10, and ST genotypes CSR30, CSR29 and CSR13 showed better gel consistency under saline and alkali stress. Amylose content was affected even at low salinity stress and thus important to be considered in breeding rice for salt tolerance. Overall, the grain quality of T and ST genotypes was less affected by saline and alkali stress compared to S ones.

关键词： alkalinity amylose content electrical conductivity gel consistency rice salinity starch content

bird’s Eye View on the Recent Advances in Drug Delivery Systems

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Journal of biomaterials and Nanobiotechnology 2011年第5期2卷 544-556页

作者： Pramod Vishwanath Prasad Pramod Chandra Pal D. nageswara rao Tulsidas G. Shrivastav Ren-Shan Ge 不详

Successful treatment of most of the diseases is limited by a lack of safe and effective methods of drug delivery. Drug delivery methods have significant effects on the pharmacological efficacy of a drug. Every drug has an optimum concentration range within which maximum benefit is derived;and concentrations above or below the range can be toxic or provide no therapeutic benefits at all. Therefore, development of an efficient drug delivery system remains an important challenge in medicine, and this can be achieved only through multidisciplinary approaches to the mechanisms of delivery of drugs to targets in tissues. Thus, several drug delivery and drug targeting systems are currently being developed. Targeting is an ability to direct the drug(s) to the desired site. There are two major mechanisms, viz., active and passive for drug targeting. Controlled drug release and subsequent biodegradation are also indispensable for developing successful formulations. Colloidal drug vehicles such as micelles, vesicles, liquid crystal dispersions, and nanomaterials consisting of miniscule nanoparticles of 5 - 200 nm diameter have shown great promise as drug delivery systems. In this context, past decades have witnessed certain major advancements. This review article emphasizes on these advances in the field of drug delivery systems.

关键词： Drug Delivery Vehicles Nanoparticles Colloidosomes Dendrimers Nanorobots

Single photon emitter deterministically coupled to a topological corner state

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Light(Science & Applications) 2024年第1期13卷 135-141页

作者： Mujie rao Fulong Shi Zhixuan rao Jiawei Yang Changkun Song Xiaodong Chen Jianwen Dong Ying Yu Siyuan Yu State Key Laboratory of Optoelectronic Materials and Technologies School of Electronics and Information TechnologySchool of PhysicsSun Yat-Sen UniversityGuangzhou 510006China Hefei National Laboratory Hefei 230088China

Incorporating topological physics into the realm of quantum photonics holds the promise of developing quantum light emitters with inherent topological robustness and immunity to ***,the deterministic interaction of quantum emitters with topologically nontrivial resonances remains largely *** we present a single photon emitter that utilizes a single semiconductor quantum dot,deterministically coupled to a second-order topological corner state in a photonic crystal *** investigating the Purcell enhancement of both single photon count and emission rate within this topological cavity,we achieve an experimental Purcell factor of Fp=***,we demonstrate the on-demand emission of polarized single photons,with a second-order autocorrelation function g(2)(0)as low as 0.024±*** approach facilitates the customization of light-matter interactions in topologically nontrivial environments,thereby offering promising applications in the field of quantum photonics.

关键词： topological quantum deterministic

Chemical reaction effects on unsteady MHD flow past semi-infinite vertical porous plate with viscous dissipation

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Applied Mathematics and Mechanics(English Edition) 2011年第8期32卷 1065-1078页

作者： J.A.rao S.SHIVAIAH Department of Mathematics Osmania University Department of Mathematics Padmasri Dr.b.V.Raju Institute of Technology

The chemical reaction effect on an unsteady magnetohydrodynamic （MHD） flow past a semi-infinite vertical porous plate with viscous dissipation is analyzed. The governing equations of motion, energy, and species are transformed into ordinary differential equations （ODEs） using the time dependent similarity parameter. The resultant ODEs are then solved numerically by a finite element method. The effects of various parameters on the velocity, temperature, and concentration profiles are presented graphically, and the values of the skin-friction, Nusselt number, and Sherwood number for various values of physical parameters are presented through tables.

关键词： magnetohydrodynamic (MHD) chemical reaction porous medium viscous dissipation finite element method